Mathematics for IGCSE & O level - Categorical, Numerical And Grouped Data (Section 3)
1
What are some things to consider when designing a questionnaire?
2
What is the main advantage of using a frequency table?
إجابة(C)
It summarizes and organizes data.
3
When calculating the mean from a frequency table, what must you do with the midpoints of the classes and their frequencies?
إجابة(B)
Multiply each midpoint by its frequency, sum the products, and divide by the total frequency.
4
What is a frequency table used for?
إجابة(B)
To summarize and organize data by grouping it into classes.
5
In a survey, a question is "Do you agree that recycling is important?" What is wrong with this question?
إجابة(A)
It is a leading question.
6
What factors can data collected on two themes show in a two-way table?
إجابة(C)
Where cars were made and their color
7
Which of the following will impact the mean?
8
Which average is often quick and easy to find?
9
What is the formula for the midpoint of a class interval?
إجابة(B)
(Upper class limit + Lower class limit) / 2
10
What is a good thing when asking questions?
11
Which of the following statements is NOT true about the mean?
إجابة(D)
It always has to be a whole number.
12
Which type of data collection is discussed in the text?
13
What is a survey used for?
14
Which of the following is NOT a measure of average?
15
If a set of data contains the numbers 1, 2, 3, 4, 5, what is the median?
16
What is the purpose of collecting and grouping data?
17
What should be considered when comparing sets of data?
18
In a survey, a school collected data about how many siblings students had. Would this data be considered?
19
In a frequency table, what does the 'Frequency' column represent?
إجابة(B)
The number of times a certain value or range of values occurs.
20
What should you consider when comparing data sets?
21
Why is the size of your sample important?
إجابة(C)
If a sample is too small the results may be very unreliable
22
Which is an example of a bad question to ask in a questionnaire?
23
The mean is the same as which value?
24
What does the range of a data set measure?
25
Which of the following is a limitation of using only the range to describe a data set?
إجابة(A)
It only considers the extreme values, not the distribution of data.
26
Why is calculating the mean using class midpoints an estimate?
إجابة(A)
Because you can't know the individual values within each class.
27
In which of the following scenarios would the mode be the most useful measure of average?
إجابة(B)
Determining the most popular shoe size sold in a store.
28
What measure of average is found by adding all values then dividing by the number of values?
29
What is an important thing to ensure when designing a questionnaire?
إجابة(B)
Make your questions clear
31
Which of the following is an example of continuous data?
32
Which of the following is true about the median when dealing with grouped data?
إجابة(D)
The median is the data value found at the middle value of the data.
33
What is a frequency table?
إجابة(C)
A table of tallies with totals
34
What is involved in comparing data sets?
35
What do you need to find the mean?
36
If a data set is 2, 4, 6, 8, 10, what is the median?
37
What should be avoided when designing a questionnaire?
38
What is an example of a task that involves collecting and grouping data?
40
Which of the following is an advantage of using the median?
إجابة(B)
Useful for small data sets
41
What type of value does the mean use?
42
Which measure of average is most affected by extreme values (outliers) in a dataset?
43
When should you do a pilot survey?
إجابة(A)
Before collecting the data
44
When are values said to have a greater range?
45
What is involved when comparing data sets?
46
Which average should be used to determine the most common score on a test?
47
Why is the mean sometimes not the best average to use?
إجابة(C)
It can be skewed by outliers.
48
How do you make a tally chart?
إجابة(B)
Count the values in each set of data
49
Which of these values is used to find the mean?
إجابة(D)
All of the values added up
50
What does range describe?
